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We construct the general Lorentz-violating effective field theory in curved spacetime and the corresponding nonrelativistic Hamiltonian in the Earth's gravitational field. Applying this general framework to three types of experiments,…

General Relativity and Quantum Cosmology · Physics 2021-09-09 Zonghao Li

Investigation of conservation/violation of CP symmetry in the leptonic sector is very essential in understanding the evolution of the universe. Lorentz invariance and CPT are fundamental symmetries of nature. The violation of Lorentz…

High Energy Physics - Phenomenology · Physics 2023-09-25 Supriya Pan , Kaustav Chakraborty , Srubabati Goswami

We discuss situations under which Lorentz symmetry is violated in effective gravitational field theories that arise in the low-energy limit of strings. In particular, we discuss spontaneous violation of the symmetry by the ground state of…

High Energy Physics - Theory · Physics 2022-05-17 Nick E. Mavromatos

In general relativity, the masslessness of gravitons can be traced to symmetry under diffeomorphisms. Here we consider another possibility, whereby the masslessness arises from spontaneous violation of Lorentz symmetry.

General Relativity and Quantum Cosmology · Physics 2009-11-13 Robertus Potting

Constraints on possible Lorentz symmetry violation (LV) of order E/M_Planck for electrons and photons in the framework of effective field theory (EFT) are discussed. Using (i) the report of polarized MeV emission from GRB021206 and (ii) the…

Astrophysics · Physics 2009-11-10 T. Jacobson , S. Liberati , D. Mattingly , F. W. Stecker

We explore the possibility to geometrize the interaction of massive fermions with the quantum structure of space-time, trying to create a theoretical background, in order to explain what some recent experimental results seem to implicate on…

High Energy Physics - Phenomenology · Physics 2019-09-24 M. D. C. Torri , S. Bertini , M. Giammarchi , L. Miramonti

The dipole anomaly in the power spectrum of CMB may indicate that the Lorentz boost invarianc is violated at cosmic scale. We assume that the Lorentz symmetry is violated partly from the scale of galaxy. We employ the symmetry of very…

General Relativity and Quantum Cosmology · Physics 2015-10-20 Yiwei Wu , Xun Xue , Lixiang Yang , Tzu-Chiang Yuan

We investigate the consequences of Lorentz violation (as expressed within the gravity sector of the Standard-Model Extension) for gravitational quantum states of ultracold neutrons (UCNs). Since our main aim is to compare our theoretical…

High Energy Physics - Phenomenology · Physics 2019-05-08 C. A. Escobar , A. Martín-Ruiz

We study some physical consequences of the introduction of a Lorentz-violating modification term in the linearized gravity, which leads to modified dispersion relations for gravitational waves in the vacuum. We discuss two possible…

High Energy Physics - Theory · Physics 2008-11-26 A. F. Ferrari , M. Gomes , J. R. Nascimento , E. Passos , A. Yu. Petrov , A. J. da Silva

Within the context of Lorentz violating extended electrodynamics, we study an analog of Landau quantization for a system where a neutral particle moves in the presence of an electromagnetic field and a constant four-vector that breaks…

High Energy Physics - Theory · Physics 2008-08-14 E. Passos , L. R. Ribeiro , C Furtado , J. R. Nascimento

Finsler geometry serves as a fundamental and natural extension of Riemannian geometry, providing a valuable framework for investigating Lorentz violation in spacetime. Previous studies have treated the Finsler structures associated with…

General Relativity and Quantum Cosmology · Physics 2026-01-07 Jie Zhu , Hao Li , Bo-Qiang Ma

Modified gravity theories generically predict a violation of Lorentz invariance, which may lead to a modified dispersion relation for propagating modes of gravitational waves. We construct a parametrized dispersion relation that can…

General Relativity and Quantum Cosmology · Physics 2014-12-02 Saeed Mirshekari , Nicolas Yunes , Clifford M. Will

The fundamental field equations in modified gravity (including general relativity; massive and bimetric theories; Ho\vrava-Lifshits, HL; Einstein--Finsler gravity extensions etc) posses an important decoupling property with respect to…

General Physics · Physics 2014-10-30 Sergiu I. Vacaru

We modify the standard relativistic dispersion relation in a way which breaks Lorentz symmetry - the effect is predicted in a high-energy regime of some modern theories of quantum gravity. We show that it is possible to realise this…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-06 Nils A. Nilsson , Mariusz P. Dabrowski

We explore the phenomenon of emergent Lorentz invariance in strongly coupled theories. The strong dynamics is handled using the gauge/gravity correspondence. We analyze how the renormalization group flow towards Lorentz invariance is…

High Energy Physics - Theory · Physics 2015-06-15 Grigory Bednik , Oriol Pujolas , Sergey Sibiryakov

Spontaneous Lorentz invariance violation (SLIV) realized through a nonlinear tensor field constraint H_{}^2=\pm M^2 (M is the proposed scale for Lorentz violation) is considered in tensor field gravity theory, which mimics linearized…

High Energy Physics - Theory · Physics 2011-03-08 J. L. Chkareuli , J. G. Jejelava , G. Tatishvili

We present a solution of the coupled Einstein and rank-two antisymmetric tensor field equations where Lorentz symmetry is spontaneously broken, and we discuss its observational signatures. Especially, the deflection angles have important…

General Relativity and Quantum Cosmology · Physics 2012-04-30 Xin-zhou Li , Ping Xi , Qun Zhang

Lorentz invariance (LI) has a central role in science and its violation (LIV) at some high-energy scale has been related to possible solutions for several of the most intriguing puzzles in nature such as dark matter, dark energy, cosmic…

High Energy Astrophysical Phenomena · Physics 2019-03-25 Rodrigo Guedes Lang , Humberto Martínez-Huerta , Vitor de Souza

We study a theory where the presence of an extra spin-two field coupled to gravity gives rise to a phase with spontaneously broken Lorentz symmetry. In this phase gravity is massive, and the Weak Equivalence Principle is respected. The…

High Energy Physics - Theory · Physics 2008-11-26 Z. Berezhiani , D. Comelli , F. Nesti , L. Pilo

A number of different approaches to quantum gravity are at least partly phenomenologically characterized by their treatment of Lorentz symmetry, in particular whether the symmetry is exact or modified/broken at the smallest scales. For…

General Relativity and Quantum Cosmology · Physics 2012-08-16 Stefano Liberati , David Mattingly